2x+5(3x+8)-7+5x=3x-7+3

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Solution for 2x+5(3x+8)-7+5x=3x-7+3 equation:


Simplifying
2x + 5(3x + 8) + -7 + 5x = 3x + -7 + 3

Reorder the terms:
2x + 5(8 + 3x) + -7 + 5x = 3x + -7 + 3
2x + (8 * 5 + 3x * 5) + -7 + 5x = 3x + -7 + 3
2x + (40 + 15x) + -7 + 5x = 3x + -7 + 3

Reorder the terms:
40 + -7 + 2x + 15x + 5x = 3x + -7 + 3

Combine like terms: 40 + -7 = 33
33 + 2x + 15x + 5x = 3x + -7 + 3

Combine like terms: 2x + 15x = 17x
33 + 17x + 5x = 3x + -7 + 3

Combine like terms: 17x + 5x = 22x
33 + 22x = 3x + -7 + 3

Reorder the terms:
33 + 22x = -7 + 3 + 3x

Combine like terms: -7 + 3 = -4
33 + 22x = -4 + 3x

Solving
33 + 22x = -4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
33 + 22x + -3x = -4 + 3x + -3x

Combine like terms: 22x + -3x = 19x
33 + 19x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + 19x = -4 + 0
33 + 19x = -4

Add '-33' to each side of the equation.
33 + -33 + 19x = -4 + -33

Combine like terms: 33 + -33 = 0
0 + 19x = -4 + -33
19x = -4 + -33

Combine like terms: -4 + -33 = -37
19x = -37

Divide each side by '19'.
x = -1.947368421

Simplifying
x = -1.947368421

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